Per Enflo Math or Music?- Yes, Math AND Music!
Calendar 2025
Concerts in Bulgaria and Romania in October 2025
Robert Schumann Piano Concerto in a minor, Op. 54 and Mozart Piano Concerto No.14, KV 449
The 47th Summer Symposium in Real Analysis
June 16-20 2025, Complutense University of Madrid >>
Årsmöte Svenska Matematikersamfundet
Annual meeting May 5 2025 Stockholm >>
Calendar 2024
Nordic Mini-Conference in Algebra, Analysis, and Geometry >>
November 6–8, 2024, MDU (Mälardalen University , Sweden)
Virginia Operator Theory and Complex Analysis Meeting on October 26, 2024 >>
Visiting Speaker to the UK - June 3 to June 14 2024 >>
Copenhagen, Department of Mathematical Sciences, University of Copenhagen 2024
Proceedings of Symposia in Pure Mathematics, A Few Lines on Per Enflo’s Works >>
This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory
ON THE INVARIANT SUBSPACE PROBLEM IN HILBERT SPACES, PER H. ENFLO
Online: click here >> arXiv:2305.15442 [pdf,ps,other]
[Submitted on 24 May 2023 (v1), last revised 6 Apr 2024 (this version, v2)]
Calendar 2023
Craiova, Romania, the 20th October 2023, Ludwig van Beethoven, Piano Concert Concert no. 1 in C major for piano and orchestra, op. 15 with Filarmonica ”Oltenia” Craiova, director Svilen Simeonov
"Invited to participate as a soloist in the Concert no. 1 in C major for piano and orchestra, op. 15 of Ludwig van Beethoven was Per Enflo. A Swede settled in the United States, this respectable gentleman is not only a pianist so good that he has touched all the meridians of the world with his art, but also a renowned mathematician. Yes, mathematician. Two fields that seem so far apart, but which, at the highest level, approach asymptotically. Let us think only of Pythagoras and the sacred importance he attached to music. Per Enflo has not only a remarkable destiny, but also a long-lasting one, which I wish twice as long.
At 80, he still has the energy to let himself be swept up in the gaiety of Beethoven's composition with the enthusiasm of a toddler (until his piece began, he seemed to be struggling to resist the temptation to touch the keyboard). What is the secret of such a zest for life at such an advanced age? But perhaps that is not the question, but the answer. With his lordship's permission, I will also draw a parallel between the way he crossed his hands on the piano keys and the way of multiplying the means and extremes of a proportion.
Photos by my friend Daniel Botea, who, although he is incredibly old, enjoyed the same as me, like a child that is, all the wonders that the concert offered.
Autor: Iris Gottlieb
Valencia, Departamento de Análisis Matemático, Universidad de Valencia
Colloquium Centre for Mathematical Sciences, Lund University September 13th 2023 >>
Helsinki, IWOTA 2023, University of Helsinki >>
July 31 - August 4, 34th International Workshop on Operator Theory and its Applications,
Calendar 2022
A history of solving some famous problems in mathematical analysis
It gives the story of how Enflo, after several years of work, managed to solve three of these problems. It is a story of trying many ideas, testing them on simpler problems, trying to combine different techniques for handling different aspects of the problems, making many failed attempts and finally succeeding.
In 1966 Enflo found a general strategy for solving many problems in infinite dimensions, by combining appropriate finite-dimensional techniques with induction procedures. When applied to the old, fundamental problems in functional analysis, this has led to new concepts, problems, techniques and results in analysis. These developments have been applied also in several other areas of mathematics and computer science.
Mathematics >> Music >> Interviews & Reviews >>
Per Enflo - mathematician and concert pianist -
was the last laureate of a prize for solving scientific problem from the Scottish Book.
Invariant Subspace Problem in Hilbert Spaces:
Exploring Applications in Quantum Mechanics, Control Theory, Operator Algebras, Functional Analysis and Accelerator Physics - Mostafa Behtouei arXiv:2306.17023
"Per H. Enflo’s recent claim of solving the invariant subspace problem in his recent publication titled ”On the invariant subspace problem in Hilbert spaces.” [4] has generated excitement and anticipation in the mathematical community, as his work could represent a major breakthrough in the field. Enflo’s solution, if validated,would be a groundbreaking achievement in mathematics, resolving a longstanding problem and advancing our understanding of bounded linear operators on Hilbert spaces. Its impact would be significant and far-reaching." From: Mostafa Behtouei, 29 Jun 2023
When did you make the decision to go into math instead of music?
I have never made, and will never make, any such decision
"An infinite-dimensional version of Hilbert's fifth problem with connections to non-linear geometry of Banach spaces"
Lecture December 2021 Slides >> to Holiday Lecture by Per Enflo via Zoom - Jani Virtanen (Reading and Helsinki) & Håkan Hedenmalm (KTH and Reading)Updated June23 2025 www.perenflo.com © 2011